Finding the Fourth Proportional to 81,686.20, 122,471.64 and 31,724.68
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Solution
The fourth proportional to 81,686.20, 122,471.64 and 31,724.68 is: 47,564.63
Step by Step Solution
- Step 1: Write the proportion equation
81,686.20 : 122,471.64 = 31,724.68 : x - Step 2: Convert to fraction form
81,686.20/122,471.64 = 31,724.68/x - Step 3: Cross multiply
81,686.20x = 122,471.64 × 31,724.68 - Step 4: Simplify right side
81,686.20x = 3,885,373,588.08 - Step 5: Solve for x
x = 3,885,373,588.08/81,686.20 - Step 6: Final answer
x = 47,564.63
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.